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Izvestiya of Saratov University. Physics, 2015, Volume 15, Issue 2, Pages 5–17
(Mi isuph228)
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This article is cited in 2 scientific papers (total in 2 papers)
Physics
Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor
S. P. Kuznetsovabc a Saratov Branch of the Institute of Radio Engineering and Electronics
b Saratov State University
c Potstdam University
Abstract:
The work presents an example of a system with chaotic dynamics built of three rotators by modifying a conservative system with hyperbolic Anosov dynamics. Results of a computational study of chaotic dynamics are considered (portraits of attractors, time dependences of the variables, Lyapunov exponents, and spectra) and good correspondence is observed between the dynamics on the attractor of the proposed system with the reduced model, characterized by the Anosov dynamics at appropriately defined energy.
Keywords:
dynamic system, chaos, attractor, hyperbolic dynamics Anosov, rotator, Lyapunov exponent, the self-oscillation.
Citation:
S. P. Kuznetsov, “Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor”, Izv. Sarat. Univ. Physics, 15:2 (2015), 5–17
Linking options:
https://www.mathnet.ru/eng/isuph228 https://www.mathnet.ru/eng/isuph/v15/i2/p5
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Abstract page: | 41 | Full-text PDF : | 14 | References: | 10 |
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